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103412928 = 2633714557
BaseRepresentation
bin1100010100111…
…11010011000000
321012120220212110
412022133103000
5202433203203
614132255320
72363665263
oct612372300
9235526773
10103412928
1153412733
122a771540
131856a0a8
14da3ccda
15912ad03
hex629f4c0

103412928 has 56 divisors (see below), whose sum is σ = 281027632. Its totient is φ = 33537024.

The previous prime is 103412923. The next prime is 103412941. The reversal of 103412928 is 829214301.

It is a junction number, because it is equal to n+sod(n) for n = 103412895 and 103412904.

It is not an unprimeable number, because it can be changed into a prime (103412923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 14382.

Almost surely, 2103412928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140513816).

103412928 is an abundant number, since it is smaller than the sum of its proper divisors (177614704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103412928 is a wasteful number, since it uses less digits than its factorization.

103412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14609 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 103412928 is about 10169.2147189446. The cubic root of 103412928 is about 469.3803937257.

The spelling of 103412928 in words is "one hundred three million, four hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 14557 29114 43671 58228 87342 116456 174684 232912 349368 465824 538609 698736 931648 1077218 1397472 1615827 2154436 2794944 3231654 4308872 6463308 8617744 12926616 17235488 25853232 34470976 51706464 103412928